In this talk, based on [1, 2], I argue that the holographic Schrödinger Equation of (3 +1)-dim, conformal light-front QCD and ’t Hooft (1+1)-dim, large Nc QCD, can be complementary to each other in providing a first approximation hadron spectroscopy. Together, two equations play role hadronic physics analogous ordinary atomic physics.

We prove unique continuation principles for solutions of evolution Schrödinger equations with time dependent potentials. These correspond to uncertainly principles of Paley-Wiener type for the Fourier transform. Our results extends to a large class of semi-linear Schrödinger equation. Titre : Un théoreme de type Paley-Wiener pour les évolutions de Schrodinger. Résumé : On prouve des principes d...

(Received 25 June 1998, revised version received 05 January 1999) The Lax pair for a derivative nonlinear Schrödinger equation proposed by Chen-Lee-Liu is generalized into matrix form. This gives new types of integrable coupled derivative nonlinear Schrödinger equations. By virtue of a gauge transformation, a new multi-component extension of a derivative nonlinear Schrödinger equation proposed ...